Journal for geometry and graphics, Tome 5 (2001) no. 2, pp. 133-144
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E. Molnar; T. Schulz; J. Szirmai. Periodic and Aperiodic Figures on the Plane by Higher Dimensions. Journal for geometry and graphics, Tome 5 (2001) no. 2, pp. 133-144. http://geodesic.mathdoc.fr/item/JGG_2001_5_2_a2/
@article{JGG_2001_5_2_a2,
author = {E. Molnar and T. Schulz and J. Szirmai},
title = {Periodic and {Aperiodic} {Figures} on the {Plane} by {Higher} {Dimensions}},
journal = {Journal for geometry and graphics},
pages = {133--144},
year = {2001},
volume = {5},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2001_5_2_a2/}
}
TY - JOUR
AU - E. Molnar
AU - T. Schulz
AU - J. Szirmai
TI - Periodic and Aperiodic Figures on the Plane by Higher Dimensions
JO - Journal for geometry and graphics
PY - 2001
SP - 133
EP - 144
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/item/JGG_2001_5_2_a2/
ID - JGG_2001_5_2_a2
ER -
%0 Journal Article
%A E. Molnar
%A T. Schulz
%A J. Szirmai
%T Periodic and Aperiodic Figures on the Plane by Higher Dimensions
%J Journal for geometry and graphics
%D 2001
%P 133-144
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2001_5_2_a2/
%F JGG_2001_5_2_a2
We extend de Bruijn's idea of constructing Penrose's non-periodic tilings of the plane to higher-dimensional analogons. On the base of d-dimensional space groups we can draw nice aperiodic coloured plane tilings with the aid of computers, especially interesting ones if d+1 is prime. Our proposed probabilistic method seems to produce attractive pictures, in particular.